Find the maximum and minimum values of the following functions.
`f(x)=2x^(3)-15x^(2)+36x+10`

Explanation

To find the maximum and minimum values of the function \( f(x) = 2x^3 - 15x^2 + 36x + 10 \), we will follow these steps:

### Step 1: Find the First Derivative
The first derivative of the function \( f(x) \) is given by:
\[ f'(x) = \frac{d}{dx}(2x^3 - 15x^2 + 36x + 10) \]
Calculating the derivative:
...